Use one of the reduction formulas shown to the right (which are valid for a # 0) to evaluate the integral below. √xª e³x 3x dx √xªe³x dx= 3x √xeax dx= Sx"c xeax Sxn Sin'x In a cos ax dx = x sin ax dx = - (x²-1 a sin ax a n-1ax dx x cos ax a "x dx = x In "x-nf in " a n-1 n √x- a 1 x dx sin ax dx cos ax dx

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use one of the
reduction formulas
shown to the
right (which are valid
for a # 0) to evaluate
the integral below.
√xª e³x dx
4 3x
√x4e³x dx = [
3x
Sxeax
sx",
dx =
Sxn
Sinn
xeax
a
cos ax dx =
sin ax dx =
n
x
=Sx
a
xn--
-1 eax dx
sin ax
a
In "x dx = x In "x-
x cos ax
a
x-nf In
a
+
Sx
X
- 1
sin ax dx
n
^²√x^-
a
x dx
1
cos ax dx
Transcribed Image Text:Use one of the reduction formulas shown to the right (which are valid for a # 0) to evaluate the integral below. √xª e³x dx 4 3x √x4e³x dx = [ 3x Sxeax sx", dx = Sxn Sinn xeax a cos ax dx = sin ax dx = n x =Sx a xn-- -1 eax dx sin ax a In "x dx = x In "x- x cos ax a x-nf In a + Sx X - 1 sin ax dx n ^²√x^- a x dx 1 cos ax dx
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